Properties

Label 64.2.i.a.5.6
Level $64$
Weight $2$
Character 64.5
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 5.6
Character \(\chi\) \(=\) 64.5
Dual form 64.2.i.a.13.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19265 + 0.759993i) q^{2} +(0.0799701 + 0.0534343i) q^{3} +(0.844823 + 1.81281i) q^{4} +(-3.47403 - 0.691028i) q^{5} +(0.0547666 + 0.124505i) q^{6} +(1.22800 - 2.96465i) q^{7} +(-0.370144 + 2.80410i) q^{8} +(-1.14451 - 2.76309i) q^{9} +O(q^{10})\) \(q+(1.19265 + 0.759993i) q^{2} +(0.0799701 + 0.0534343i) q^{3} +(0.844823 + 1.81281i) q^{4} +(-3.47403 - 0.691028i) q^{5} +(0.0547666 + 0.124505i) q^{6} +(1.22800 - 2.96465i) q^{7} +(-0.370144 + 2.80410i) q^{8} +(-1.14451 - 2.76309i) q^{9} +(-3.61812 - 3.46439i) q^{10} +(2.79833 + 4.18799i) q^{11} +(-0.0293056 + 0.190113i) q^{12} +(-1.09820 + 0.218446i) q^{13} +(3.71768 - 2.60252i) q^{14} +(-0.240894 - 0.240894i) q^{15} +(-2.57255 + 3.06300i) q^{16} +(-2.65418 + 2.65418i) q^{17} +(0.734931 - 4.16522i) q^{18} +(-0.382328 - 1.92209i) q^{19} +(-1.68224 - 6.88155i) q^{20} +(0.256617 - 0.171466i) q^{21} +(0.154578 + 7.12151i) q^{22} +(1.03743 - 0.429717i) q^{23} +(-0.179436 + 0.204466i) q^{24} +(6.97198 + 2.88789i) q^{25} +(-1.47579 - 0.574096i) q^{26} +(0.112408 - 0.565114i) q^{27} +(6.41178 - 0.278478i) q^{28} +(-0.389126 + 0.582369i) q^{29} +(-0.104224 - 0.470380i) q^{30} +3.88281i q^{31} +(-5.39601 + 1.69797i) q^{32} +0.484441i q^{33} +(-5.18265 + 1.14835i) q^{34} +(-6.31476 + 9.45071i) q^{35} +(4.04205 - 4.40910i) q^{36} +(0.183408 - 0.922056i) q^{37} +(1.00479 - 2.58295i) q^{38} +(-0.0994958 - 0.0412125i) q^{39} +(3.22361 - 9.48576i) q^{40} +(7.08379 - 2.93420i) q^{41} +(0.436367 - 0.00947173i) q^{42} +(5.66688 - 3.78649i) q^{43} +(-5.22794 + 8.61094i) q^{44} +(2.06669 + 10.3900i) q^{45} +(1.56387 + 0.275937i) q^{46} +(2.32284 - 2.32284i) q^{47} +(-0.369397 + 0.107486i) q^{48} +(-2.33143 - 2.33143i) q^{49} +(6.12035 + 8.74289i) q^{50} +(-0.354079 + 0.0704307i) q^{51} +(-1.32379 - 1.80628i) q^{52} +(-5.11546 - 7.65583i) q^{53} +(0.563546 - 0.588554i) q^{54} +(-6.82746 - 16.4829i) q^{55} +(7.85865 + 4.54078i) q^{56} +(0.0721309 - 0.174139i) q^{57} +(-0.906687 + 0.398828i) q^{58} +(-3.76937 - 0.749773i) q^{59} +(0.233182 - 0.640208i) q^{60} +(-2.78586 - 1.86145i) q^{61} +(-2.95091 + 4.63083i) q^{62} -9.59706 q^{63} +(-7.72599 - 2.07585i) q^{64} +3.96614 q^{65} +(-0.368171 + 0.577768i) q^{66} +(-5.52163 - 3.68943i) q^{67} +(-7.05382 - 2.56920i) q^{68} +(0.105925 + 0.0210698i) q^{69} +(-14.7138 + 6.47220i) q^{70} +(-3.72629 + 8.99606i) q^{71} +(8.17163 - 2.18658i) q^{72} +(-0.610714 - 1.47439i) q^{73} +(0.919498 - 0.960300i) q^{74} +(0.403237 + 0.603488i) q^{75} +(3.16138 - 2.31691i) q^{76} +(15.8523 - 3.15321i) q^{77} +(-0.0873423 - 0.124768i) q^{78} +(8.22980 + 8.22980i) q^{79} +(11.0537 - 8.86327i) q^{80} +(-6.30515 + 6.30515i) q^{81} +(10.6784 + 1.88416i) q^{82} +(-1.83962 - 9.24837i) q^{83} +(0.527631 + 0.320339i) q^{84} +(11.0548 - 7.38658i) q^{85} +(9.63630 - 0.209164i) q^{86} +(-0.0622370 + 0.0257794i) q^{87} +(-12.7793 + 6.29663i) q^{88} +(-12.0003 - 4.97070i) q^{89} +(-5.43145 + 13.9622i) q^{90} +(-0.700974 + 3.52403i) q^{91} +(1.65544 + 1.51763i) q^{92} +(-0.207475 + 0.310509i) q^{93} +(4.53566 - 1.00499i) q^{94} +6.94161i q^{95} +(-0.522249 - 0.152545i) q^{96} +5.29500i q^{97} +(-1.00871 - 4.55244i) q^{98} +(8.36909 - 12.5252i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{1}{16}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19265 + 0.759993i 0.843330 + 0.537396i
\(3\) 0.0799701 + 0.0534343i 0.0461708 + 0.0308503i 0.578441 0.815724i \(-0.303661\pi\)
−0.532271 + 0.846574i \(0.678661\pi\)
\(4\) 0.844823 + 1.81281i 0.422411 + 0.906404i
\(5\) −3.47403 0.691028i −1.55363 0.309037i −0.657719 0.753263i \(-0.728479\pi\)
−0.895915 + 0.444226i \(0.853479\pi\)
\(6\) 0.0547666 + 0.124505i 0.0223584 + 0.0508290i
\(7\) 1.22800 2.96465i 0.464140 1.12053i −0.502542 0.864553i \(-0.667602\pi\)
0.966682 0.255980i \(-0.0823981\pi\)
\(8\) −0.370144 + 2.80410i −0.130866 + 0.991400i
\(9\) −1.14451 2.76309i −0.381503 0.921031i
\(10\) −3.61812 3.46439i −1.14415 1.09554i
\(11\) 2.79833 + 4.18799i 0.843727 + 1.26273i 0.962901 + 0.269854i \(0.0869753\pi\)
−0.119174 + 0.992873i \(0.538025\pi\)
\(12\) −0.0293056 + 0.190113i −0.00845981 + 0.0548809i
\(13\) −1.09820 + 0.218446i −0.304586 + 0.0605860i −0.345017 0.938596i \(-0.612127\pi\)
0.0404309 + 0.999182i \(0.487127\pi\)
\(14\) 3.71768 2.60252i 0.993593 0.695552i
\(15\) −0.240894 0.240894i −0.0621986 0.0621986i
\(16\) −2.57255 + 3.06300i −0.643137 + 0.765751i
\(17\) −2.65418 + 2.65418i −0.643732 + 0.643732i −0.951471 0.307739i \(-0.900428\pi\)
0.307739 + 0.951471i \(0.400428\pi\)
\(18\) 0.734931 4.16522i 0.173225 0.981751i
\(19\) −0.382328 1.92209i −0.0877120 0.440958i −0.999538 0.0303820i \(-0.990328\pi\)
0.911826 0.410576i \(-0.134672\pi\)
\(20\) −1.68224 6.88155i −0.376160 1.53876i
\(21\) 0.256617 0.171466i 0.0559985 0.0374170i
\(22\) 0.154578 + 7.12151i 0.0329562 + 1.51831i
\(23\) 1.03743 0.429717i 0.216319 0.0896023i −0.271892 0.962328i \(-0.587649\pi\)
0.488211 + 0.872725i \(0.337649\pi\)
\(24\) −0.179436 + 0.204466i −0.0366272 + 0.0417364i
\(25\) 6.97198 + 2.88789i 1.39440 + 0.577578i
\(26\) −1.47579 0.574096i −0.289425 0.112589i
\(27\) 0.112408 0.565114i 0.0216330 0.108756i
\(28\) 6.41178 0.278478i 1.21171 0.0526274i
\(29\) −0.389126 + 0.582369i −0.0722590 + 0.108143i −0.865839 0.500323i \(-0.833215\pi\)
0.793580 + 0.608466i \(0.208215\pi\)
\(30\) −0.104224 0.470380i −0.0190287 0.0858792i
\(31\) 3.88281i 0.697373i 0.937239 + 0.348687i \(0.113372\pi\)
−0.937239 + 0.348687i \(0.886628\pi\)
\(32\) −5.39601 + 1.69797i −0.953888 + 0.300161i
\(33\) 0.484441i 0.0843303i
\(34\) −5.18265 + 1.14835i −0.888818 + 0.196940i
\(35\) −6.31476 + 9.45071i −1.06739 + 1.59746i
\(36\) 4.04205 4.40910i 0.673675 0.734850i
\(37\) 0.183408 0.922056i 0.0301522 0.151585i −0.962776 0.270299i \(-0.912877\pi\)
0.992928 + 0.118714i \(0.0378773\pi\)
\(38\) 1.00479 2.58295i 0.162999 0.419009i
\(39\) −0.0994958 0.0412125i −0.0159321 0.00659928i
\(40\) 3.22361 9.48576i 0.509697 1.49983i
\(41\) 7.08379 2.93420i 1.10630 0.458245i 0.246640 0.969107i \(-0.420674\pi\)
0.859663 + 0.510862i \(0.170674\pi\)
\(42\) 0.436367 0.00947173i 0.0673329 0.00146152i
\(43\) 5.66688 3.78649i 0.864191 0.577434i −0.0425633 0.999094i \(-0.513552\pi\)
0.906754 + 0.421660i \(0.138552\pi\)
\(44\) −5.22794 + 8.61094i −0.788141 + 1.29815i
\(45\) 2.06669 + 10.3900i 0.308084 + 1.54884i
\(46\) 1.56387 + 0.275937i 0.230580 + 0.0406847i
\(47\) 2.32284 2.32284i 0.338820 0.338820i −0.517103 0.855923i \(-0.672990\pi\)
0.855923 + 0.517103i \(0.172990\pi\)
\(48\) −0.369397 + 0.107486i −0.0533178 + 0.0155143i
\(49\) −2.33143 2.33143i −0.333061 0.333061i
\(50\) 6.12035 + 8.74289i 0.865548 + 1.23643i
\(51\) −0.354079 + 0.0704307i −0.0495810 + 0.00986226i
\(52\) −1.32379 1.80628i −0.183576 0.250486i
\(53\) −5.11546 7.65583i −0.702662 1.05161i −0.995436 0.0954269i \(-0.969578\pi\)
0.292774 0.956182i \(-0.405422\pi\)
\(54\) 0.563546 0.588554i 0.0766889 0.0800920i
\(55\) −6.82746 16.4829i −0.920614 2.22256i
\(56\) 7.85865 + 4.54078i 1.05016 + 0.606788i
\(57\) 0.0721309 0.174139i 0.00955396 0.0230653i
\(58\) −0.906687 + 0.398828i −0.119054 + 0.0523687i
\(59\) −3.76937 0.749773i −0.490730 0.0976122i −0.0564780 0.998404i \(-0.517987\pi\)
−0.434252 + 0.900792i \(0.642987\pi\)
\(60\) 0.233182 0.640208i 0.0301037 0.0826504i
\(61\) −2.78586 1.86145i −0.356692 0.238334i 0.364293 0.931284i \(-0.381311\pi\)
−0.720986 + 0.692950i \(0.756311\pi\)
\(62\) −2.95091 + 4.63083i −0.374766 + 0.588116i
\(63\) −9.59706 −1.20912
\(64\) −7.72599 2.07585i −0.965748 0.259481i
\(65\) 3.96614 0.491939
\(66\) −0.368171 + 0.577768i −0.0453188 + 0.0711183i
\(67\) −5.52163 3.68943i −0.674574 0.450736i 0.170519 0.985354i \(-0.445455\pi\)
−0.845094 + 0.534618i \(0.820455\pi\)
\(68\) −7.05382 2.56920i −0.855401 0.311562i
\(69\) 0.105925 + 0.0210698i 0.0127519 + 0.00253650i
\(70\) −14.7138 + 6.47220i −1.75863 + 0.773576i
\(71\) −3.72629 + 8.99606i −0.442229 + 1.06764i 0.532936 + 0.846156i \(0.321089\pi\)
−0.975165 + 0.221480i \(0.928911\pi\)
\(72\) 8.17163 2.18658i 0.963036 0.257691i
\(73\) −0.610714 1.47439i −0.0714786 0.172565i 0.884102 0.467293i \(-0.154771\pi\)
−0.955581 + 0.294729i \(0.904771\pi\)
\(74\) 0.919498 0.960300i 0.106889 0.111633i
\(75\) 0.403237 + 0.603488i 0.0465619 + 0.0696847i
\(76\) 3.16138 2.31691i 0.362636 0.265768i
\(77\) 15.8523 3.15321i 1.80653 0.359342i
\(78\) −0.0873423 0.124768i −0.00988957 0.0141272i
\(79\) 8.22980 + 8.22980i 0.925925 + 0.925925i 0.997440 0.0715143i \(-0.0227832\pi\)
−0.0715143 + 0.997440i \(0.522783\pi\)
\(80\) 11.0537 8.86327i 1.23585 0.990943i
\(81\) −6.30515 + 6.30515i −0.700572 + 0.700572i
\(82\) 10.6784 + 1.88416i 1.17924 + 0.208070i
\(83\) −1.83962 9.24837i −0.201924 1.01514i −0.940195 0.340636i \(-0.889357\pi\)
0.738271 0.674504i \(-0.235643\pi\)
\(84\) 0.527631 + 0.320339i 0.0575693 + 0.0349519i
\(85\) 11.0548 7.38658i 1.19906 0.801187i
\(86\) 9.63630 0.209164i 1.03911 0.0225547i
\(87\) −0.0622370 + 0.0257794i −0.00667250 + 0.00276384i
\(88\) −12.7793 + 6.29663i −1.36228 + 0.671223i
\(89\) −12.0003 4.97070i −1.27203 0.526893i −0.358451 0.933548i \(-0.616695\pi\)
−0.913582 + 0.406655i \(0.866695\pi\)
\(90\) −5.43145 + 13.9622i −0.572526 + 1.47175i
\(91\) −0.700974 + 3.52403i −0.0734821 + 0.369419i
\(92\) 1.65544 + 1.51763i 0.172591 + 0.158223i
\(93\) −0.207475 + 0.310509i −0.0215142 + 0.0321983i
\(94\) 4.53566 1.00499i 0.467818 0.103657i
\(95\) 6.94161i 0.712194i
\(96\) −0.522249 0.152545i −0.0533018 0.0155691i
\(97\) 5.29500i 0.537626i 0.963192 + 0.268813i \(0.0866314\pi\)
−0.963192 + 0.268813i \(0.913369\pi\)
\(98\) −1.00871 4.55244i −0.101895 0.459866i
\(99\) 8.36909 12.5252i 0.841126 1.25883i
\(100\) 0.654897 + 15.0786i 0.0654897 + 1.50786i
\(101\) −3.13084 + 15.7398i −0.311530 + 1.56617i 0.434760 + 0.900547i \(0.356833\pi\)
−0.746290 + 0.665621i \(0.768167\pi\)
\(102\) −0.475818 0.185098i −0.0471130 0.0183275i
\(103\) 17.4336 + 7.22122i 1.71778 + 0.711528i 0.999882 + 0.0153816i \(0.00489631\pi\)
0.717900 + 0.696147i \(0.245104\pi\)
\(104\) −0.206052 3.16033i −0.0202050 0.309895i
\(105\) −1.00998 + 0.418349i −0.0985644 + 0.0408267i
\(106\) −0.282576 13.0184i −0.0274462 1.26446i
\(107\) 4.11276 2.74806i 0.397596 0.265665i −0.340659 0.940187i \(-0.610650\pi\)
0.738255 + 0.674522i \(0.235650\pi\)
\(108\) 1.11941 0.273647i 0.107715 0.0263317i
\(109\) 0.0475309 + 0.238954i 0.00455264 + 0.0228876i 0.982995 0.183633i \(-0.0587859\pi\)
−0.978442 + 0.206521i \(0.933786\pi\)
\(110\) 4.38415 24.8472i 0.418012 2.36908i
\(111\) 0.0639366 0.0639366i 0.00606860 0.00606860i
\(112\) 5.92165 + 11.3881i 0.559543 + 1.07607i
\(113\) −6.95720 6.95720i −0.654478 0.654478i 0.299590 0.954068i \(-0.403150\pi\)
−0.954068 + 0.299590i \(0.903150\pi\)
\(114\) 0.218371 0.152868i 0.0204523 0.0143174i
\(115\) −3.90101 + 0.775959i −0.363771 + 0.0723586i
\(116\) −1.38447 0.213413i −0.128544 0.0198149i
\(117\) 1.86049 + 2.78442i 0.172002 + 0.257420i
\(118\) −3.92571 3.75891i −0.361391 0.346035i
\(119\) 4.60938 + 11.1280i 0.422541 + 1.02010i
\(120\) 0.764657 0.586326i 0.0698033 0.0535240i
\(121\) −5.49912 + 13.2761i −0.499920 + 1.20691i
\(122\) −1.90786 4.33728i −0.172730 0.392679i
\(123\) 0.723279 + 0.143869i 0.0652158 + 0.0129722i
\(124\) −7.03879 + 3.28029i −0.632102 + 0.294578i
\(125\) −7.49955 5.01104i −0.670780 0.448201i
\(126\) −11.4459 7.29369i −1.01968 0.649774i
\(127\) −7.76241 −0.688803 −0.344401 0.938823i \(-0.611918\pi\)
−0.344401 + 0.938823i \(0.611918\pi\)
\(128\) −7.63676 8.34745i −0.675001 0.737817i
\(129\) 0.655509 0.0577144
\(130\) 4.73021 + 3.01424i 0.414867 + 0.264366i
\(131\) 12.3086 + 8.22432i 1.07540 + 0.718562i 0.961465 0.274926i \(-0.0886533\pi\)
0.113939 + 0.993488i \(0.463653\pi\)
\(132\) −0.878198 + 0.409267i −0.0764374 + 0.0356221i
\(133\) −6.16783 1.22686i −0.534819 0.106382i
\(134\) −3.78142 8.59660i −0.326665 0.742633i
\(135\) −0.781020 + 1.88555i −0.0672195 + 0.162282i
\(136\) −6.46015 8.42501i −0.553954 0.722439i
\(137\) −5.36370 12.9491i −0.458252 1.10632i −0.969105 0.246650i \(-0.920670\pi\)
0.510853 0.859668i \(-0.329330\pi\)
\(138\) 0.110318 + 0.105631i 0.00939093 + 0.00899191i
\(139\) 0.749892 + 1.12229i 0.0636050 + 0.0951917i 0.861909 0.507063i \(-0.169269\pi\)
−0.798304 + 0.602255i \(0.794269\pi\)
\(140\) −22.4672 3.46328i −1.89882 0.292701i
\(141\) 0.309877 0.0616383i 0.0260963 0.00519088i
\(142\) −11.2811 + 7.89718i −0.946688 + 0.662717i
\(143\) −3.98798 3.98798i −0.333491 0.333491i
\(144\) 11.4077 + 3.60255i 0.950639 + 0.300213i
\(145\) 1.75427 1.75427i 0.145684 0.145684i
\(146\) 0.392161 2.22257i 0.0324555 0.183941i
\(147\) −0.0618662 0.311022i −0.00510264 0.0256527i
\(148\) 1.82646 0.446490i 0.150134 0.0367012i
\(149\) 1.76585 1.17991i 0.144664 0.0966617i −0.481132 0.876648i \(-0.659774\pi\)
0.625796 + 0.779987i \(0.284774\pi\)
\(150\) 0.0222747 + 1.02621i 0.00181872 + 0.0837894i
\(151\) 4.00592 1.65931i 0.325997 0.135033i −0.213682 0.976903i \(-0.568546\pi\)
0.539679 + 0.841871i \(0.318546\pi\)
\(152\) 5.53126 0.360635i 0.448644 0.0292514i
\(153\) 10.3715 + 4.29600i 0.838483 + 0.347311i
\(154\) 21.3026 + 8.28693i 1.71661 + 0.667780i
\(155\) 2.68313 13.4890i 0.215514 1.08346i
\(156\) −0.00934591 0.215184i −0.000748272 0.0172285i
\(157\) 2.07839 3.11052i 0.165873 0.248247i −0.739216 0.673468i \(-0.764804\pi\)
0.905089 + 0.425221i \(0.139804\pi\)
\(158\) 3.56068 + 16.0699i 0.283272 + 1.27845i
\(159\) 0.885578i 0.0702309i
\(160\) 19.9192 2.17001i 1.57475 0.171554i
\(161\) 3.60331i 0.283980i
\(162\) −12.3117 + 2.72796i −0.967299 + 0.214329i
\(163\) −13.3708 + 20.0108i −1.04728 + 1.56736i −0.245820 + 0.969316i \(0.579057\pi\)
−0.801460 + 0.598049i \(0.795943\pi\)
\(164\) 11.3037 + 10.3627i 0.882670 + 0.809189i
\(165\) 0.334762 1.68296i 0.0260612 0.131018i
\(166\) 4.83468 12.4282i 0.375244 0.964612i
\(167\) −15.6357 6.47650i −1.20992 0.501167i −0.315730 0.948849i \(-0.602250\pi\)
−0.894193 + 0.447682i \(0.852250\pi\)
\(168\) 0.385823 + 0.783048i 0.0297669 + 0.0604135i
\(169\) −10.8521 + 4.49509i −0.834777 + 0.345776i
\(170\) 18.7982 0.408032i 1.44176 0.0312946i
\(171\) −4.87334 + 3.25626i −0.372673 + 0.249012i
\(172\) 11.6517 + 7.07405i 0.888432 + 0.539392i
\(173\) −1.28256 6.44786i −0.0975112 0.490222i −0.998419 0.0562112i \(-0.982098\pi\)
0.900908 0.434011i \(-0.142902\pi\)
\(174\) −0.0938190 0.0165539i −0.00711240 0.00125494i
\(175\) 17.1232 17.1232i 1.29439 1.29439i
\(176\) −20.0267 2.20253i −1.50957 0.166022i
\(177\) −0.261373 0.261373i −0.0196460 0.0196460i
\(178\) −10.5345 15.0485i −0.789593 1.12793i
\(179\) 23.4172 4.65797i 1.75028 0.348153i 0.787064 0.616872i \(-0.211600\pi\)
0.963219 + 0.268719i \(0.0866003\pi\)
\(180\) −17.0890 + 12.5242i −1.27374 + 0.933498i
\(181\) 4.98506 + 7.46067i 0.370537 + 0.554547i 0.969144 0.246495i \(-0.0792790\pi\)
−0.598607 + 0.801043i \(0.704279\pi\)
\(182\) −3.51426 + 3.67020i −0.260494 + 0.272053i
\(183\) −0.123320 0.297721i −0.00911607 0.0220081i
\(184\) 0.820973 + 3.06812i 0.0605229 + 0.226185i
\(185\) −1.27433 + 3.07651i −0.0936908 + 0.226190i
\(186\) −0.483430 + 0.212648i −0.0354468 + 0.0155921i
\(187\) −18.5429 3.68842i −1.35599 0.269724i
\(188\) 6.17324 + 2.24847i 0.450230 + 0.163987i
\(189\) −1.53733 1.02721i −0.111824 0.0747186i
\(190\) −5.27557 + 8.27890i −0.382730 + 0.600614i
\(191\) 15.9816 1.15639 0.578195 0.815899i \(-0.303757\pi\)
0.578195 + 0.815899i \(0.303757\pi\)
\(192\) −0.506927 0.578838i −0.0365843 0.0417741i
\(193\) 3.68140 0.264993 0.132496 0.991183i \(-0.457701\pi\)
0.132496 + 0.991183i \(0.457701\pi\)
\(194\) −4.02416 + 6.31508i −0.288918 + 0.453396i
\(195\) 0.317173 + 0.211928i 0.0227132 + 0.0151765i
\(196\) 2.25679 6.19607i 0.161199 0.442576i
\(197\) 11.0892 + 2.20577i 0.790070 + 0.157155i 0.573601 0.819135i \(-0.305546\pi\)
0.216469 + 0.976290i \(0.430546\pi\)
\(198\) 19.5005 8.57776i 1.38584 0.609595i
\(199\) −3.41515 + 8.24489i −0.242093 + 0.584465i −0.997490 0.0708023i \(-0.977444\pi\)
0.755397 + 0.655267i \(0.227444\pi\)
\(200\) −10.6786 + 18.4812i −0.755089 + 1.30682i
\(201\) −0.244423 0.590089i −0.0172403 0.0416217i
\(202\) −15.6961 + 16.3926i −1.10437 + 1.15338i
\(203\) 1.24867 + 1.86877i 0.0876397 + 0.131162i
\(204\) −0.426811 0.582376i −0.0298828 0.0407745i
\(205\) −26.6369 + 5.29842i −1.86040 + 0.370057i
\(206\) 15.3041 + 21.8618i 1.06628 + 1.52318i
\(207\) −2.37470 2.37470i −0.165053 0.165053i
\(208\) 2.15608 3.92576i 0.149497 0.272202i
\(209\) 6.97982 6.97982i 0.482805 0.482805i
\(210\) −1.52250 0.268637i −0.105062 0.0185377i
\(211\) −1.91737 9.63929i −0.131997 0.663596i −0.988956 0.148210i \(-0.952649\pi\)
0.856958 0.515386i \(-0.172351\pi\)
\(212\) 9.55689 15.7412i 0.656370 1.08111i
\(213\) −0.778690 + 0.520304i −0.0533549 + 0.0356506i
\(214\) 6.99358 0.151802i 0.478071 0.0103770i
\(215\) −22.3035 + 9.23840i −1.52108 + 0.630054i
\(216\) 1.54303 + 0.524378i 0.104990 + 0.0356794i
\(217\) 11.5112 + 4.76809i 0.781430 + 0.323679i
\(218\) −0.124916 + 0.321111i −0.00846035 + 0.0217484i
\(219\) 0.0299444 0.150540i 0.00202345 0.0101726i
\(220\) 24.1124 26.3020i 1.62566 1.77328i
\(221\) 2.33503 3.49461i 0.157071 0.235073i
\(222\) 0.124845 0.0276626i 0.00837907 0.00185659i
\(223\) 11.7193i 0.784782i −0.919798 0.392391i \(-0.871648\pi\)
0.919798 0.392391i \(-0.128352\pi\)
\(224\) −1.59240 + 18.0824i −0.106397 + 1.20818i
\(225\) 22.5694i 1.50463i
\(226\) −3.01007 13.5849i −0.200227 0.903655i
\(227\) 4.43507 6.63755i 0.294366 0.440549i −0.654578 0.755994i \(-0.727154\pi\)
0.948944 + 0.315445i \(0.102154\pi\)
\(228\) 0.376619 0.0163574i 0.0249422 0.00108329i
\(229\) 3.07163 15.4421i 0.202979 1.02045i −0.736133 0.676836i \(-0.763350\pi\)
0.939113 0.343609i \(-0.111650\pi\)
\(230\) −5.24226 2.03929i −0.345664 0.134467i
\(231\) 1.43620 + 0.594893i 0.0944949 + 0.0391411i
\(232\) −1.48899 1.30671i −0.0977569 0.0857898i
\(233\) −2.37521 + 0.983843i −0.155605 + 0.0644537i −0.459127 0.888371i \(-0.651838\pi\)
0.303522 + 0.952825i \(0.401838\pi\)
\(234\) 0.102773 + 4.73479i 0.00671846 + 0.309523i
\(235\) −9.67475 + 6.46446i −0.631111 + 0.421695i
\(236\) −1.82525 7.46656i −0.118814 0.486032i
\(237\) 0.218384 + 1.09789i 0.0141856 + 0.0713158i
\(238\) −2.95985 + 16.7749i −0.191858 + 1.08736i
\(239\) −14.4718 + 14.4718i −0.936102 + 0.936102i −0.998078 0.0619760i \(-0.980260\pi\)
0.0619760 + 0.998078i \(0.480260\pi\)
\(240\) 1.35757 0.118147i 0.0876308 0.00762638i
\(241\) 13.8159 + 13.8159i 0.889960 + 0.889960i 0.994519 0.104558i \(-0.0333429\pi\)
−0.104558 + 0.994519i \(0.533343\pi\)
\(242\) −16.6482 + 11.6544i −1.07019 + 0.749172i
\(243\) −2.53648 + 0.504537i −0.162715 + 0.0323661i
\(244\) 1.02090 6.62282i 0.0653562 0.423982i
\(245\) 6.48837 + 9.71053i 0.414526 + 0.620383i
\(246\) 0.753278 + 0.721272i 0.0480273 + 0.0459866i
\(247\) 0.839746 + 2.02733i 0.0534317 + 0.128996i
\(248\) −10.8878 1.43720i −0.691376 0.0912623i
\(249\) 0.347066 0.837892i 0.0219944 0.0530992i
\(250\) −5.13598 11.6760i −0.324828 0.738456i
\(251\) −14.6959 2.92320i −0.927599 0.184511i −0.291901 0.956449i \(-0.594288\pi\)
−0.635698 + 0.771938i \(0.719288\pi\)
\(252\) −8.10781 17.3976i −0.510744 1.09595i
\(253\) 4.70272 + 3.14226i 0.295657 + 0.197552i
\(254\) −9.25783 5.89937i −0.580888 0.370160i
\(255\) 1.27875 0.0800785
\(256\) −2.76398 15.7595i −0.172749 0.984966i
\(257\) 24.4316 1.52400 0.762001 0.647576i \(-0.224217\pi\)
0.762001 + 0.647576i \(0.224217\pi\)
\(258\) 0.781792 + 0.498182i 0.0486723 + 0.0310155i
\(259\) −2.50835 1.67603i −0.155861 0.104143i
\(260\) 3.35068 + 7.18985i 0.207801 + 0.445896i
\(261\) 2.05450 + 0.408665i 0.127170 + 0.0252957i
\(262\) 8.42937 + 19.1631i 0.520768 + 1.18390i
\(263\) 6.31226 15.2391i 0.389231 0.939686i −0.600873 0.799345i \(-0.705180\pi\)
0.990103 0.140341i \(-0.0448199\pi\)
\(264\) −1.35842 0.179313i −0.0836051 0.0110359i
\(265\) 12.4809 + 30.1315i 0.766694 + 1.85096i
\(266\) −6.42365 6.15071i −0.393859 0.377124i
\(267\) −0.694062 1.03874i −0.0424759 0.0635697i
\(268\) 2.02344 13.1266i 0.123601 0.801833i
\(269\) 6.17863 1.22901i 0.376718 0.0749338i −0.00309991 0.999995i \(-0.500987\pi\)
0.379818 + 0.925061i \(0.375987\pi\)
\(270\) −2.36448 + 1.65523i −0.143898 + 0.100734i
\(271\) −22.0018 22.0018i −1.33651 1.33651i −0.899413 0.437100i \(-0.856005\pi\)
−0.437100 0.899413i \(-0.643995\pi\)
\(272\) −1.30175 14.9577i −0.0789302 0.906947i
\(273\) −0.244361 + 0.244361i −0.0147894 + 0.0147894i
\(274\) 3.44422 19.5201i 0.208073 1.17925i
\(275\) 7.41542 + 37.2798i 0.447167 + 2.24806i
\(276\) 0.0512923 + 0.209822i 0.00308744 + 0.0126298i
\(277\) −16.8544 + 11.2618i −1.01269 + 0.676655i −0.947016 0.321187i \(-0.895918\pi\)
−0.0656692 + 0.997841i \(0.520918\pi\)
\(278\) 0.0414238 + 1.90841i 0.00248443 + 0.114459i
\(279\) 10.7286 4.44392i 0.642302 0.266050i
\(280\) −24.1634 21.2054i −1.44404 1.26726i
\(281\) −21.0372 8.71391i −1.25498 0.519828i −0.346613 0.938008i \(-0.612668\pi\)
−0.908364 + 0.418180i \(0.862668\pi\)
\(282\) 0.416418 + 0.161991i 0.0247974 + 0.00964643i
\(283\) −5.85317 + 29.4259i −0.347935 + 1.74919i 0.269909 + 0.962886i \(0.413006\pi\)
−0.617844 + 0.786301i \(0.711994\pi\)
\(284\) −19.4562 + 0.845024i −1.15451 + 0.0501430i
\(285\) −0.370920 + 0.555121i −0.0219714 + 0.0328825i
\(286\) −1.72542 7.78709i −0.102026 0.460460i
\(287\) 24.6042i 1.45234i
\(288\) 10.8674 + 12.9663i 0.640370 + 0.764048i
\(289\) 2.91070i 0.171218i
\(290\) 3.42546 0.758996i 0.201150 0.0445698i
\(291\) −0.282935 + 0.423442i −0.0165859 + 0.0248226i
\(292\) 2.15685 2.35271i 0.126220 0.137682i
\(293\) −3.59311 + 18.0638i −0.209912 + 1.05530i 0.721801 + 0.692100i \(0.243315\pi\)
−0.931713 + 0.363196i \(0.881685\pi\)
\(294\) 0.162590 0.417958i 0.00948245 0.0243758i
\(295\) 12.5768 + 5.20947i 0.732248 + 0.303307i
\(296\) 2.51765 + 0.855590i 0.146336 + 0.0497301i
\(297\) 2.68125 1.11061i 0.155582 0.0644441i
\(298\) 3.00276 0.0651776i 0.173945 0.00377564i
\(299\) −1.04544 + 0.698538i −0.0604592 + 0.0403975i
\(300\) −0.753343 + 1.24083i −0.0434943 + 0.0716395i
\(301\) −4.26669 21.4501i −0.245928 1.23636i
\(302\) 6.03872 + 1.06550i 0.347489 + 0.0613127i
\(303\) −1.09142 + 1.09142i −0.0627004 + 0.0627004i
\(304\) 6.87093 + 3.77360i 0.394075 + 0.216431i
\(305\) 8.39184 + 8.39184i 0.480515 + 0.480515i
\(306\) 9.10459 + 13.0059i 0.520475 + 0.743495i
\(307\) 0.624761 0.124273i 0.0356570 0.00709262i −0.177230 0.984170i \(-0.556714\pi\)
0.212887 + 0.977077i \(0.431714\pi\)
\(308\) 19.1085 + 26.0732i 1.08881 + 1.48566i
\(309\) 1.00830 + 1.50903i 0.0573604 + 0.0858459i
\(310\) 13.4516 14.0485i 0.763998 0.797901i
\(311\) 3.87831 + 9.36307i 0.219919 + 0.530931i 0.994878 0.101080i \(-0.0322298\pi\)
−0.774959 + 0.632011i \(0.782230\pi\)
\(312\) 0.152392 0.263742i 0.00862749 0.0149314i
\(313\) 7.60854 18.3686i 0.430060 1.03826i −0.549207 0.835686i \(-0.685070\pi\)
0.979268 0.202571i \(-0.0649297\pi\)
\(314\) 4.84276 2.13020i 0.273293 0.120214i
\(315\) 33.3405 + 6.63184i 1.87852 + 0.373662i
\(316\) −7.96633 + 21.8718i −0.448141 + 1.23038i
\(317\) −9.31093 6.22136i −0.522954 0.349427i 0.265907 0.963999i \(-0.414329\pi\)
−0.788861 + 0.614572i \(0.789329\pi\)
\(318\) 0.673033 1.05618i 0.0377418 0.0592278i
\(319\) −3.52786 −0.197522
\(320\) 25.4059 + 12.5504i 1.42023 + 0.701590i
\(321\) 0.475738 0.0265531
\(322\) 2.73849 4.29748i 0.152610 0.239489i
\(323\) 6.11633 + 4.08680i 0.340322 + 0.227396i
\(324\) −16.7568 6.10330i −0.930932 0.339072i
\(325\) −8.28748 1.64848i −0.459707 0.0914414i
\(326\) −31.1547 + 13.7041i −1.72550 + 0.759002i
\(327\) −0.00896729 + 0.0216490i −0.000495892 + 0.00119719i
\(328\) 5.60578 + 20.9498i 0.309528 + 1.15676i
\(329\) −4.03396 9.73883i −0.222399 0.536919i
\(330\) 1.67829 1.75277i 0.0923870 0.0964866i
\(331\) −2.60514 3.89887i −0.143192 0.214301i 0.752941 0.658088i \(-0.228635\pi\)
−0.896132 + 0.443787i \(0.853635\pi\)
\(332\) 15.2114 11.1481i 0.834833 0.611832i
\(333\) −2.75764 + 0.548529i −0.151118 + 0.0300592i
\(334\) −13.7258 19.6072i −0.751040 1.07286i
\(335\) 16.6328 + 16.6328i 0.908747 + 0.908747i
\(336\) −0.134959 + 1.22712i −0.00736262 + 0.0669451i
\(337\) 7.15691 7.15691i 0.389862 0.389862i −0.484777 0.874638i \(-0.661099\pi\)
0.874638 + 0.484777i \(0.161099\pi\)
\(338\) −16.3590 2.88646i −0.889812 0.157003i
\(339\) −0.184615 0.928121i −0.0100269 0.0504086i
\(340\) 22.7298 + 13.7999i 1.23270 + 0.748404i
\(341\) −16.2612 + 10.8654i −0.880592 + 0.588393i
\(342\) −8.28692 + 0.179875i −0.448105 + 0.00972650i
\(343\) 10.9777 4.54711i 0.592740 0.245521i
\(344\) 8.52014 + 17.2921i 0.459375 + 0.932325i
\(345\) −0.353427 0.146394i −0.0190279 0.00788160i
\(346\) 3.37068 8.66477i 0.181209 0.465821i
\(347\) 1.83440 9.22214i 0.0984756 0.495070i −0.899797 0.436310i \(-0.856285\pi\)
0.998272 0.0587604i \(-0.0187148\pi\)
\(348\) −0.0993123 0.0910447i −0.00532370 0.00488051i
\(349\) −0.202878 + 0.303629i −0.0108598 + 0.0162529i −0.836860 0.547417i \(-0.815611\pi\)
0.826000 + 0.563670i \(0.190611\pi\)
\(350\) 33.4354 7.40844i 1.78720 0.395998i
\(351\) 0.645165i 0.0344363i
\(352\) −22.2109 17.8470i −1.18384 0.951246i
\(353\) 28.2164i 1.50181i 0.660411 + 0.750904i \(0.270382\pi\)
−0.660411 + 0.750904i \(0.729618\pi\)
\(354\) −0.113085 0.510368i −0.00601038 0.0271257i
\(355\) 19.1618 28.6776i 1.01700 1.52205i
\(356\) −1.12722 25.9537i −0.0597428 1.37554i
\(357\) −0.226006 + 1.13621i −0.0119615 + 0.0601345i
\(358\) 31.4685 + 12.2416i 1.66316 + 0.646987i
\(359\) −21.6280 8.95860i −1.14148 0.472817i −0.269812 0.962913i \(-0.586962\pi\)
−0.871668 + 0.490096i \(0.836962\pi\)
\(360\) −29.8995 + 1.94943i −1.57584 + 0.102744i
\(361\) 14.0054 5.80125i 0.737129 0.305329i
\(362\) 0.275373 + 12.6866i 0.0144733 + 0.666791i
\(363\) −1.14916 + 0.767846i −0.0603154 + 0.0403015i
\(364\) −6.98060 + 1.70645i −0.365883 + 0.0894424i
\(365\) 1.10279 + 5.54411i 0.0577228 + 0.290192i
\(366\) 0.0791881 0.448798i 0.00413923 0.0234591i
\(367\) −7.75795 + 7.75795i −0.404962 + 0.404962i −0.879977 0.475016i \(-0.842442\pi\)
0.475016 + 0.879977i \(0.342442\pi\)
\(368\) −1.35261 + 4.28312i −0.0705098 + 0.223273i
\(369\) −16.2149 16.2149i −0.844116 0.844116i
\(370\) −3.85796 + 2.70072i −0.200566 + 0.140403i
\(371\) −28.9786 + 5.76421i −1.50450 + 0.299263i
\(372\) −0.738173 0.113788i −0.0382725 0.00589964i
\(373\) −13.4903 20.1897i −0.698502 1.04538i −0.995885 0.0906234i \(-0.971114\pi\)
0.297384 0.954758i \(-0.403886\pi\)
\(374\) −19.3120 18.4915i −0.998601 0.956171i
\(375\) −0.331978 0.801467i −0.0171433 0.0413876i
\(376\) 5.65369 + 7.37325i 0.291567 + 0.380247i
\(377\) 0.300123 0.724561i 0.0154571 0.0373168i
\(378\) −1.05282 2.39346i −0.0541513 0.123106i
\(379\) 17.2347 + 3.42819i 0.885286 + 0.176094i 0.616735 0.787171i \(-0.288455\pi\)
0.268551 + 0.963265i \(0.413455\pi\)
\(380\) −12.5838 + 5.86443i −0.645535 + 0.300839i
\(381\) −0.620761 0.414779i −0.0318025 0.0212498i
\(382\) 19.0605 + 12.1459i 0.975218 + 0.621439i
\(383\) 16.8809 0.862575 0.431287 0.902215i \(-0.358060\pi\)
0.431287 + 0.902215i \(0.358060\pi\)
\(384\) −0.164673 1.07561i −0.00840341 0.0548896i
\(385\) −57.2502 −2.91774
\(386\) 4.39062 + 2.79784i 0.223477 + 0.142406i
\(387\) −16.9482 11.3244i −0.861526 0.575653i
\(388\) −9.59883 + 4.47334i −0.487307 + 0.227099i
\(389\) 16.6486 + 3.31162i 0.844119 + 0.167906i 0.598162 0.801375i \(-0.295898\pi\)
0.245957 + 0.969281i \(0.420898\pi\)
\(390\) 0.217212 + 0.493804i 0.0109989 + 0.0250048i
\(391\) −1.61298 + 3.89407i −0.0815717 + 0.196931i
\(392\) 7.40052 5.67459i 0.373783 0.286610i
\(393\) 0.544856 + 1.31540i 0.0274844 + 0.0663531i
\(394\) 11.5491 + 11.0584i 0.581835 + 0.557114i
\(395\) −22.9036 34.2776i −1.15240 1.72469i
\(396\) 29.7762 + 4.58996i 1.49631 + 0.230654i
\(397\) 3.99127 0.793913i 0.200316 0.0398454i −0.0939123 0.995580i \(-0.529937\pi\)
0.294228 + 0.955735i \(0.404937\pi\)
\(398\) −10.3391 + 7.23778i −0.518254 + 0.362797i
\(399\) −0.427686 0.427686i −0.0214111 0.0214111i
\(400\) −26.7814 + 13.9260i −1.33907 + 0.696298i
\(401\) 17.0281 17.0281i 0.850344 0.850344i −0.139832 0.990175i \(-0.544656\pi\)
0.990175 + 0.139832i \(0.0446561\pi\)
\(402\) 0.156953 0.889528i 0.00782808 0.0443656i
\(403\) −0.848184 4.26411i −0.0422510 0.212410i
\(404\) −31.1782 + 7.62172i −1.55118 + 0.379195i
\(405\) 26.2613 17.5473i 1.30494 0.871930i
\(406\) 0.0689762 + 3.17777i 0.00342323 + 0.157710i
\(407\) 4.37480 1.81210i 0.216851 0.0898225i
\(408\) −0.0664346 1.01894i −0.00328900 0.0504452i
\(409\) −26.8028 11.1021i −1.32531 0.548963i −0.395999 0.918251i \(-0.629602\pi\)
−0.929315 + 0.369288i \(0.879602\pi\)
\(410\) −35.7953 13.9247i −1.76780 0.687693i
\(411\) 0.262992 1.32215i 0.0129724 0.0652168i
\(412\) 1.63758 + 37.7044i 0.0806780 + 1.85756i
\(413\) −6.85159 + 10.2541i −0.337145 + 0.504573i
\(414\) −1.02743 4.63693i −0.0504953 0.227893i
\(415\) 33.4004i 1.63956i
\(416\) 5.55499 3.04345i 0.272356 0.149217i
\(417\) 0.129820i 0.00635731i
\(418\) 13.6291 3.01987i 0.666621 0.147706i
\(419\) 5.32427 7.96834i 0.260108 0.389279i −0.678313 0.734773i \(-0.737289\pi\)
0.938421 + 0.345494i \(0.112289\pi\)
\(420\) −1.61164 1.47748i −0.0786402 0.0720935i
\(421\) 6.67598 33.5624i 0.325367 1.63573i −0.378644 0.925542i \(-0.623609\pi\)
0.704011 0.710189i \(-0.251391\pi\)
\(422\) 5.03903 12.9535i 0.245296 0.630565i
\(423\) −9.07672 3.75970i −0.441325 0.182803i
\(424\) 23.3612 11.5105i 1.13452 0.559000i
\(425\) −26.1698 + 10.8399i −1.26942 + 0.525812i
\(426\) −1.32413 + 0.0287414i −0.0641543 + 0.00139252i
\(427\) −8.93957 + 5.97323i −0.432616 + 0.289065i
\(428\) 8.45626 + 5.13402i 0.408749 + 0.248162i
\(429\) −0.105824 0.532014i −0.00510923 0.0256859i
\(430\) −33.6213 5.93231i −1.62136 0.286081i
\(431\) 15.6106 15.6106i 0.751934 0.751934i −0.222906 0.974840i \(-0.571554\pi\)
0.974840 + 0.222906i \(0.0715543\pi\)
\(432\) 1.44177 + 1.79809i 0.0693673 + 0.0865107i
\(433\) −2.26932 2.26932i −0.109057 0.109057i 0.650473 0.759529i \(-0.274571\pi\)
−0.759529 + 0.650473i \(0.774571\pi\)
\(434\) 10.1051 + 14.4351i 0.485059 + 0.692905i
\(435\) 0.234027 0.0465509i 0.0112208 0.00223195i
\(436\) −0.393023 + 0.288038i −0.0188224 + 0.0137945i
\(437\) −1.22259 1.82974i −0.0584846 0.0875284i
\(438\) 0.150123 0.156784i 0.00717314 0.00749145i
\(439\) 9.28224 + 22.4093i 0.443017 + 1.06954i 0.974885 + 0.222710i \(0.0714905\pi\)
−0.531867 + 0.846828i \(0.678510\pi\)
\(440\) 48.7470 13.0438i 2.32392 0.621840i
\(441\) −3.77360 + 9.11028i −0.179695 + 0.433823i
\(442\) 5.44075 2.39324i 0.258790 0.113835i
\(443\) 27.8229 + 5.53431i 1.32190 + 0.262943i 0.805089 0.593154i \(-0.202117\pi\)
0.516815 + 0.856097i \(0.327117\pi\)
\(444\) 0.169920 + 0.0618898i 0.00806405 + 0.00293716i
\(445\) 38.2546 + 25.5609i 1.81344 + 1.21170i
\(446\) 8.90658 13.9770i 0.421739 0.661830i
\(447\) 0.204263 0.00966131
\(448\) −15.6417 + 20.3557i −0.738999 + 0.961717i
\(449\) −30.2350 −1.42688 −0.713439 0.700717i \(-0.752864\pi\)
−0.713439 + 0.700717i \(0.752864\pi\)
\(450\) 17.1526 26.9174i 0.808581 1.26890i
\(451\) 32.1112 + 21.4560i 1.51206 + 1.01032i
\(452\) 6.73447 18.4897i 0.316763 0.869681i
\(453\) 0.409018 + 0.0813588i 0.0192174 + 0.00382257i
\(454\) 10.3340 4.54565i 0.484997 0.213338i
\(455\) 4.87041 11.7582i 0.228328 0.551234i
\(456\) 0.461606 + 0.266719i 0.0216167 + 0.0124903i
\(457\) 10.5302 + 25.4220i 0.492580 + 1.18919i 0.953403 + 0.301701i \(0.0975544\pi\)
−0.460823 + 0.887492i \(0.652446\pi\)
\(458\) 15.3993 16.0826i 0.719562 0.751492i
\(459\) 1.20156 + 1.79826i 0.0560841 + 0.0839358i
\(460\) −4.70233 6.41624i −0.219247 0.299159i
\(461\) −0.814259 + 0.161966i −0.0379238 + 0.00754352i −0.214016 0.976830i \(-0.568654\pi\)
0.176092 + 0.984374i \(0.443654\pi\)
\(462\) 1.26077 + 1.80100i 0.0586561 + 0.0837900i
\(463\) 21.5717 + 21.5717i 1.00252 + 1.00252i 0.999997 + 0.00252293i \(0.000803073\pi\)
0.00252293 + 0.999997i \(0.499197\pi\)
\(464\) −0.782751 2.69007i −0.0363383 0.124883i
\(465\) 0.935346 0.935346i 0.0433756 0.0433756i
\(466\) −3.58050 0.631760i −0.165864 0.0292657i
\(467\) 1.39757 + 7.02605i 0.0646717 + 0.325127i 0.999555 0.0298285i \(-0.00949612\pi\)
−0.934883 + 0.354955i \(0.884496\pi\)
\(468\) −3.47583 + 5.72505i −0.160670 + 0.264641i
\(469\) −17.7184 + 11.8391i −0.818161 + 0.546678i
\(470\) −16.4515 + 0.357094i −0.758852 + 0.0164715i
\(471\) 0.332417 0.137692i 0.0153170 0.00634450i
\(472\) 3.49765 10.2922i 0.160992 0.473735i
\(473\) 31.7155 + 13.1370i 1.45828 + 0.604040i
\(474\) −0.573934 + 1.47537i −0.0263617 + 0.0677660i
\(475\) 2.88520 14.5049i 0.132382 0.665530i
\(476\) −16.2789 + 17.7571i −0.746141 + 0.813897i
\(477\) −15.2991 + 22.8967i −0.700496 + 1.04837i
\(478\) −28.2582 + 6.26131i −1.29250 + 0.286386i
\(479\) 2.21732i 0.101312i −0.998716 0.0506560i \(-0.983869\pi\)
0.998716 0.0506560i \(-0.0161312\pi\)
\(480\) 1.70890 + 0.890836i 0.0780001 + 0.0406609i
\(481\) 1.05267i 0.0479975i
\(482\) 5.97754 + 26.9775i 0.272269 + 1.22879i
\(483\) 0.192540 0.288157i 0.00876089 0.0131116i
\(484\) −28.7127 + 1.24706i −1.30512 + 0.0566844i
\(485\) 3.65900 18.3950i 0.166146 0.835274i
\(486\) −3.40857 1.32597i −0.154616 0.0601472i
\(487\) −9.10197 3.77016i −0.412450 0.170842i 0.166803 0.985990i \(-0.446656\pi\)
−0.579253 + 0.815148i \(0.696656\pi\)
\(488\) 6.25086 7.12282i 0.282963 0.322435i
\(489\) −2.13852 + 0.885805i −0.0967074 + 0.0400575i
\(490\) 0.358415 + 16.5124i 0.0161915 + 0.745952i
\(491\) 9.57984 6.40104i 0.432332 0.288875i −0.320300 0.947316i \(-0.603784\pi\)
0.752632 + 0.658441i \(0.228784\pi\)
\(492\) 0.350235 + 1.43271i 0.0157898 + 0.0645915i
\(493\) −0.512899 2.57852i −0.0230998 0.116131i
\(494\) −0.539231 + 3.05609i −0.0242611 + 0.137500i
\(495\) −37.7298 + 37.7298i −1.69583 + 1.69583i
\(496\) −11.8931 9.98872i −0.534014 0.448507i
\(497\) 22.0943 + 22.0943i 0.991064 + 0.991064i
\(498\) 1.05072 0.735543i 0.0470839 0.0329605i
\(499\) −19.6134 + 3.90135i −0.878017 + 0.174649i −0.613464 0.789723i \(-0.710224\pi\)
−0.264553 + 0.964371i \(0.585224\pi\)
\(500\) 2.74826 17.8287i 0.122906 0.797323i
\(501\) −0.904317 1.35341i −0.0404019 0.0604658i
\(502\) −15.3055 14.6552i −0.683117 0.654091i
\(503\) −7.62487 18.4081i −0.339976 0.820775i −0.997717 0.0675306i \(-0.978488\pi\)
0.657741 0.753244i \(-0.271512\pi\)
\(504\) 3.55230 26.9111i 0.158232 1.19872i
\(505\) 21.7533 52.5170i 0.968008 2.33698i
\(506\) 3.22060 + 7.32164i 0.143173 + 0.325487i
\(507\) −1.10804 0.220402i −0.0492096 0.00978840i
\(508\) −6.55786 14.0718i −0.290958 0.624334i
\(509\) 30.1072 + 20.1170i 1.33448 + 0.891671i 0.998735 0.0502826i \(-0.0160122\pi\)
0.335744 + 0.941953i \(0.391012\pi\)
\(510\) 1.52510 + 0.971841i 0.0675326 + 0.0430338i
\(511\) −5.12102 −0.226540
\(512\) 8.68061 20.8961i 0.383633 0.923486i
\(513\) −1.12918 −0.0498544
\(514\) 29.1383 + 18.5678i 1.28524 + 0.818992i
\(515\) −55.5747 37.1338i −2.44891 1.63631i
\(516\) 0.553789 + 1.18831i 0.0243792 + 0.0523125i
\(517\) 16.2281 + 3.22796i 0.713710 + 0.141966i
\(518\) −1.71781 3.90524i −0.0754764 0.171586i
\(519\) 0.241971 0.584169i 0.0106213 0.0256422i
\(520\) −1.46804 + 11.1215i −0.0643780 + 0.487708i
\(521\) 1.49640 + 3.61262i 0.0655583 + 0.158272i 0.953263 0.302141i \(-0.0977014\pi\)
−0.887705 + 0.460413i \(0.847701\pi\)
\(522\) 2.13971 + 2.04880i 0.0936527 + 0.0896734i
\(523\) 17.6817 + 26.4626i 0.773168 + 1.15713i 0.983749 + 0.179551i \(0.0574645\pi\)
−0.210581 + 0.977576i \(0.567535\pi\)
\(524\) −4.51056 + 29.2612i −0.197045 + 1.27828i
\(525\) 2.28430 0.454376i 0.0996952 0.0198306i
\(526\) 19.1099 13.3777i 0.833233 0.583294i
\(527\) −10.3057 10.3057i −0.448922 0.448922i
\(528\) −1.48384 1.24625i −0.0645760 0.0542360i
\(529\) −15.3719 + 15.3719i −0.668341 + 0.668341i
\(530\) −8.01441 + 45.4217i −0.348124 + 1.97299i
\(531\) 2.24238 + 11.2732i 0.0973112 + 0.489216i
\(532\) −2.98666 12.2176i −0.129488 0.529699i
\(533\) −7.13847 + 4.76977i −0.309201 + 0.206602i
\(534\) −0.0383397 1.76633i −0.00165912 0.0764366i
\(535\) −16.1868 + 6.70481i −0.699818 + 0.289874i
\(536\) 12.3894 14.1176i 0.535138 0.609787i
\(537\) 2.12157 + 0.878783i 0.0915525 + 0.0379223i
\(538\) 8.30297 + 3.22994i 0.357967 + 0.139253i
\(539\) 3.23990 16.2881i 0.139552 0.701577i
\(540\) −4.07796 + 0.177115i −0.175487 + 0.00762180i
\(541\) 8.23111 12.3187i 0.353883 0.529623i −0.611231 0.791452i \(-0.709326\pi\)
0.965114 + 0.261829i \(0.0843256\pi\)
\(542\) −9.51921 42.9616i −0.408885 1.84536i
\(543\) 0.863004i 0.0370350i
\(544\) 9.81525 18.8287i 0.420825 0.807272i
\(545\) 0.862979i 0.0369660i
\(546\) −0.477150 + 0.105724i −0.0204201 + 0.00452459i
\(547\) −4.06786 + 6.08798i −0.173929 + 0.260303i −0.908185 0.418570i \(-0.862531\pi\)
0.734255 + 0.678873i \(0.237531\pi\)
\(548\) 18.9429 20.6631i 0.809200 0.882683i
\(549\) −1.95492 + 9.82802i −0.0834338 + 0.419450i
\(550\) −19.4884 + 50.0974i −0.830988 + 2.13616i
\(551\) 1.26814 + 0.525281i 0.0540246 + 0.0223777i
\(552\) −0.0982894 + 0.289226i −0.00418347 + 0.0123103i
\(553\) 34.5047 14.2923i 1.46729 0.607771i
\(554\) −28.6603 + 0.622096i −1.21766 + 0.0264303i
\(555\) −0.266300 + 0.177936i −0.0113038 + 0.00755296i
\(556\) −1.40098 + 2.30755i −0.0594146 + 0.0978619i
\(557\) −1.69218 8.50718i −0.0717001 0.360461i 0.928233 0.371999i \(-0.121327\pi\)
−0.999933 + 0.0115376i \(0.996327\pi\)
\(558\) 16.1728 + 2.85360i 0.684647 + 0.120802i
\(559\) −5.39623 + 5.39623i −0.228236 + 0.228236i
\(560\) −12.7025 43.6545i −0.536779 1.84474i
\(561\) −1.28579 1.28579i −0.0542861 0.0542861i
\(562\) −18.4675 26.3808i −0.779006 1.11281i
\(563\) −4.00239 + 0.796125i −0.168681 + 0.0335527i −0.278708 0.960376i \(-0.589906\pi\)
0.110027 + 0.993929i \(0.464906\pi\)
\(564\) 0.373529 + 0.509673i 0.0157284 + 0.0214611i
\(565\) 19.3619 + 28.9771i 0.814561 + 1.21908i
\(566\) −29.3442 + 30.6464i −1.23343 + 1.28816i
\(567\) 10.9499 + 26.4353i 0.459851 + 1.11018i
\(568\) −23.8466 13.7787i −1.00058 0.578143i
\(569\) −0.0703648 + 0.169876i −0.00294984 + 0.00712155i −0.925348 0.379120i \(-0.876227\pi\)
0.922398 + 0.386241i \(0.126227\pi\)
\(570\) −0.864265 + 0.380168i −0.0362001 + 0.0159235i
\(571\) −25.5865 5.08948i −1.07076 0.212988i −0.371921 0.928264i \(-0.621301\pi\)
−0.698842 + 0.715276i \(0.746301\pi\)
\(572\) 3.86030 10.5986i 0.161407 0.443148i
\(573\) 1.27805 + 0.853967i 0.0533914 + 0.0356750i
\(574\) 18.6990 29.3441i 0.780480 1.22480i
\(575\) 8.47391 0.353387
\(576\) 3.10672 + 23.7234i 0.129447 + 0.988477i
\(577\) 3.89521 0.162160 0.0810800 0.996708i \(-0.474163\pi\)
0.0810800 + 0.996708i \(0.474163\pi\)
\(578\) −2.21211 + 3.47144i −0.0920116 + 0.144393i
\(579\) 0.294402 + 0.196713i 0.0122349 + 0.00817512i
\(580\) 4.66220 + 1.69811i 0.193587 + 0.0705101i
\(581\) −29.6772 5.90317i −1.23122 0.244905i
\(582\) −0.659255 + 0.289989i −0.0273270 + 0.0120204i
\(583\) 17.7478 42.8470i 0.735039 1.77454i
\(584\) 4.36040 1.16677i 0.180435 0.0482811i
\(585\) −4.53929 10.9588i −0.187676 0.453091i
\(586\) −18.0136 + 18.8130i −0.744137 + 0.777158i
\(587\) −5.18453 7.75920i −0.213989 0.320257i 0.708910 0.705298i \(-0.249187\pi\)
−0.922899 + 0.385042i \(0.874187\pi\)
\(588\) 0.511558 0.374910i 0.0210963 0.0154610i
\(589\) 7.46312 1.48451i 0.307512 0.0611680i
\(590\) 11.0405 + 15.7713i 0.454531 + 0.649295i
\(591\) 0.768937 + 0.768937i 0.0316299 + 0.0316299i
\(592\) 2.35243 + 2.93382i 0.0966844 + 0.120579i
\(593\) −32.7658 + 32.7658i −1.34553 + 1.34553i −0.455082 + 0.890449i \(0.650390\pi\)
−0.890449 + 0.455082i \(0.849610\pi\)
\(594\) 4.04184 + 0.713162i 0.165839 + 0.0292614i
\(595\) −8.32336 41.8443i −0.341224 1.71545i
\(596\) 3.63078 + 2.20434i 0.148722 + 0.0902935i
\(597\) −0.713670 + 0.476859i −0.0292086 + 0.0195165i
\(598\) −1.77772 + 0.0385870i −0.0726965 + 0.00157794i
\(599\) 9.21102 3.81533i 0.376352 0.155890i −0.186485 0.982458i \(-0.559710\pi\)
0.562837 + 0.826568i \(0.309710\pi\)
\(600\) −1.84150 + 0.907342i −0.0751788 + 0.0370421i
\(601\) −30.1614 12.4933i −1.23031 0.509611i −0.329637 0.944108i \(-0.606926\pi\)
−0.900673 + 0.434497i \(0.856926\pi\)
\(602\) 11.2133 28.8251i 0.457018 1.17482i
\(603\) −3.87469 + 19.4794i −0.157789 + 0.793261i
\(604\) 6.39230 + 5.86015i 0.260099 + 0.238446i
\(605\) 28.2783 42.3214i 1.14967 1.72061i
\(606\) −2.13115 + 0.472209i −0.0865720 + 0.0191822i
\(607\) 5.63753i 0.228820i 0.993434 + 0.114410i \(0.0364978\pi\)
−0.993434 + 0.114410i \(0.963502\pi\)
\(608\) 5.32670 + 9.72244i 0.216026 + 0.394297i
\(609\) 0.216168i 0.00875956i
\(610\) 3.63078 + 16.3862i 0.147006 + 0.663460i
\(611\) −2.04353 + 3.05836i −0.0826723 + 0.123728i
\(612\) 0.974220 + 22.4308i 0.0393805 + 0.906713i
\(613\) 7.19644 36.1790i 0.290662 1.46125i −0.508981 0.860778i \(-0.669978\pi\)
0.799642 0.600476i \(-0.205022\pi\)
\(614\) 0.839567 + 0.326600i 0.0338822 + 0.0131805i
\(615\) −2.41328 0.999611i −0.0973127 0.0403082i
\(616\) 2.97431 + 45.6185i 0.119838 + 1.83802i
\(617\) −13.8368 + 5.73141i −0.557050 + 0.230738i −0.643404 0.765527i \(-0.722478\pi\)
0.0863538 + 0.996265i \(0.472478\pi\)
\(618\) 0.0556983 + 2.56605i 0.00224051 + 0.103222i
\(619\) 21.0023 14.0333i 0.844152 0.564044i −0.0565907 0.998397i \(-0.518023\pi\)
0.900743 + 0.434353i \(0.143023\pi\)
\(620\) 26.7198 6.53182i 1.07309 0.262324i
\(621\) −0.126224 0.634570i −0.00506519 0.0254644i
\(622\) −2.49040 + 14.1143i −0.0998560 + 0.565934i
\(623\) −29.4728 + 29.4728i −1.18080 + 1.18080i
\(624\) 0.382192 0.198735i 0.0152999 0.00795576i
\(625\) −4.08970 4.08970i −0.163588 0.163588i
\(626\) 23.0344 16.1249i 0.920638 0.644481i
\(627\) 0.931139 0.185215i 0.0371861 0.00739678i
\(628\) 7.39465 + 1.13987i 0.295079 + 0.0454859i
\(629\) 1.96050 + 2.93410i 0.0781703 + 0.116990i
\(630\) 34.7234 + 33.2480i 1.38341 + 1.32463i
\(631\) −5.59874 13.5166i −0.222882 0.538086i 0.772397 0.635140i \(-0.219058\pi\)
−0.995279 + 0.0970548i \(0.969058\pi\)
\(632\) −26.1234 + 20.0310i −1.03913 + 0.796791i
\(633\) 0.361736 0.873308i 0.0143777 0.0347109i
\(634\) −6.37648 14.4961i −0.253242 0.575715i
\(635\) 26.9669 + 5.36404i 1.07015 + 0.212866i
\(636\) 1.60538 0.748157i 0.0636576 0.0296663i
\(637\) 3.06967 + 2.05108i 0.121625 + 0.0812669i
\(638\) −4.20750 2.68115i −0.166576 0.106148i
\(639\) 29.1217 1.15204
\(640\) 20.7620 + 34.2765i 0.820691 + 1.35490i
\(641\) 28.7316 1.13483 0.567414 0.823432i \(-0.307944\pi\)
0.567414 + 0.823432i \(0.307944\pi\)
\(642\) 0.567389 + 0.361558i 0.0223931 + 0.0142695i
\(643\) −29.2315 19.5318i −1.15278 0.770261i −0.175973 0.984395i \(-0.556307\pi\)
−0.976804 + 0.214134i \(0.931307\pi\)
\(644\) 6.53211 3.04416i 0.257401 0.119957i
\(645\) −2.27726 0.452975i −0.0896670 0.0178359i
\(646\) 4.18870 + 9.52249i 0.164802 + 0.374657i
\(647\) −7.41448 + 17.9001i −0.291493 + 0.703727i −0.999998 0.00197916i \(-0.999370\pi\)
0.708505 + 0.705706i \(0.249370\pi\)
\(648\) −15.3465 20.0141i −0.602867 0.786229i
\(649\) −7.40787 17.8842i −0.290784 0.702015i
\(650\) −8.63122 8.26449i −0.338544 0.324160i
\(651\) 0.665771 + 0.996396i 0.0260936 + 0.0390518i
\(652\) −47.5716 7.33309i −1.86305 0.287186i
\(653\) −20.9556 + 4.16833i −0.820057 + 0.163119i −0.587252 0.809404i \(-0.699790\pi\)
−0.232805 + 0.972523i \(0.574790\pi\)
\(654\) −0.0271479 + 0.0190045i −0.00106157 + 0.000743136i
\(655\) −37.0771 37.0771i −1.44872 1.44872i
\(656\) −9.23593 + 29.2461i −0.360603 + 1.14187i
\(657\) −3.37492 + 3.37492i −0.131668 + 0.131668i
\(658\) 2.59035 14.6808i 0.100982 0.572317i
\(659\) 4.81340 + 24.1986i 0.187503 + 0.942643i 0.953866 + 0.300234i \(0.0970648\pi\)
−0.766362 + 0.642409i \(0.777935\pi\)
\(660\) 3.33370 0.814945i 0.129764 0.0317217i
\(661\) −13.2970 + 8.88474i −0.517192 + 0.345576i −0.786613 0.617446i \(-0.788167\pi\)
0.269422 + 0.963022i \(0.413167\pi\)
\(662\) −0.143907 6.62988i −0.00559311 0.257677i
\(663\) 0.373465 0.154694i 0.0145042 0.00600782i
\(664\) 26.6143 1.73524i 1.03284 0.0673404i
\(665\) 20.5794 + 8.52428i 0.798036 + 0.330557i
\(666\) −3.70577 1.44158i −0.143596 0.0558602i
\(667\) −0.153437 + 0.771381i −0.00594111 + 0.0298680i
\(668\) −1.46870 33.8159i −0.0568257 1.30838i
\(669\) 0.626213 0.937193i 0.0242108 0.0362340i
\(670\) 7.19629 + 32.4779i 0.278017 + 1.25473i
\(671\) 16.8761i 0.651494i
\(672\) −1.09356 + 1.36096i −0.0421852 + 0.0525002i
\(673\) 8.00824i 0.308695i −0.988017 0.154348i \(-0.950672\pi\)
0.988017 0.154348i \(-0.0493275\pi\)
\(674\) 13.9749 3.09648i 0.538292 0.119272i
\(675\) 2.41569 3.61534i 0.0929801 0.139155i
\(676\) −17.3168 15.8752i −0.666032 0.610586i
\(677\) −3.48992 + 17.5450i −0.134129 + 0.674310i 0.853949 + 0.520356i \(0.174201\pi\)
−0.988078 + 0.153954i \(0.950799\pi\)
\(678\) 0.485184 1.24723i 0.0186334 0.0478995i
\(679\) 15.6978 + 6.50226i 0.602428 + 0.249534i
\(680\) 16.6209 + 33.7329i 0.637381 + 1.29360i
\(681\) 0.709346 0.293821i 0.0271822 0.0112592i
\(682\) −27.6515 + 0.600199i −1.05883 + 0.0229828i
\(683\) −19.1391 + 12.7883i −0.732336 + 0.489331i −0.864964 0.501835i \(-0.832659\pi\)
0.132628 + 0.991166i \(0.457659\pi\)
\(684\) −10.0201 6.08347i −0.383127 0.232607i
\(685\) 9.68546 + 48.6921i 0.370063 + 1.86043i
\(686\) 16.5483 + 2.91986i 0.631818 + 0.111481i
\(687\) 1.07078 1.07078i 0.0408528 0.0408528i
\(688\) −2.98030 + 27.0986i −0.113623 + 1.03312i
\(689\) 7.29019 + 7.29019i 0.277734 + 0.277734i
\(690\) −0.310256 0.443199i −0.0118112 0.0168723i
\(691\) 38.0071 7.56007i 1.44586 0.287599i 0.591088 0.806607i \(-0.298699\pi\)
0.854769 + 0.519008i \(0.173699\pi\)
\(692\) 10.6052 7.77234i 0.403149 0.295460i
\(693\) −26.8557 40.1924i −1.02016 1.52678i
\(694\) 9.19655 9.60464i 0.349096 0.364587i
\(695\) −1.82961 4.41708i −0.0694012 0.167549i
\(696\) −0.0492514 0.184061i −0.00186687 0.00697681i
\(697\) −11.0137 + 26.5895i −0.417175 + 1.00715i
\(698\) −0.472718 + 0.207937i −0.0178926 + 0.00787052i
\(699\) −0.242517 0.0482395i −0.00917282 0.00182459i
\(700\) 45.5070 + 16.5750i 1.72000 + 0.626475i
\(701\) −11.1321 7.43826i −0.420455 0.280939i 0.327291 0.944923i \(-0.393864\pi\)
−0.747747 + 0.663984i \(0.768864\pi\)
\(702\) −0.490320 + 0.769455i −0.0185059 + 0.0290412i
\(703\) −1.84240 −0.0694874
\(704\) −12.9262 38.1653i −0.487175 1.43841i
\(705\) −1.11911 −0.0421483
\(706\) −21.4443 + 33.6523i −0.807065 + 1.26652i
\(707\) 42.8183 + 28.6103i 1.61035 + 1.07600i
\(708\) 0.253005 0.694633i 0.00950852 0.0261059i
\(709\) 20.5812 + 4.09386i 0.772944 + 0.153748i 0.565778 0.824558i \(-0.308576\pi\)
0.207166 + 0.978306i \(0.433576\pi\)
\(710\) 44.6480 19.6395i 1.67561 0.737058i
\(711\) 13.3206 32.1588i 0.499562 1.20605i
\(712\) 18.3802 31.8103i 0.688828 1.19214i
\(713\) 1.66851 + 4.02814i 0.0624862 + 0.150855i
\(714\) −1.13306 + 1.18334i −0.0424036 + 0.0442852i
\(715\) 11.0986 + 16.6102i 0.415062 + 0.621185i
\(716\) 28.2274 + 38.5157i 1.05491 + 1.43940i
\(717\) −1.93060 + 0.384020i −0.0720996 + 0.0143415i
\(718\) −18.9861 27.1216i −0.708555 1.01217i
\(719\) 14.9402 + 14.9402i 0.557174 + 0.557174i 0.928502 0.371328i \(-0.121097\pi\)
−0.371328 + 0.928502i \(0.621097\pi\)
\(720\) −37.1411 20.3984i −1.38417 0.760203i
\(721\) 42.8168 42.8168i 1.59458 1.59458i
\(722\) 21.1125 + 3.72519i 0.785725 + 0.138637i
\(723\) 0.366616 + 1.84310i 0.0136346 + 0.0685457i
\(724\) −9.31327 + 15.3399i −0.346125 + 0.570103i
\(725\) −4.39480 + 2.93651i −0.163219 + 0.109059i
\(726\) −1.95410 + 0.0424155i −0.0725236 + 0.00157419i
\(727\) 25.4837 10.5557i 0.945139 0.391489i 0.143737 0.989616i \(-0.454088\pi\)
0.801402 + 0.598127i \(0.204088\pi\)
\(728\) −9.62229 3.27000i −0.356626 0.121194i
\(729\) 24.4844 + 10.1418i 0.906831 + 0.375622i
\(730\) −2.89824 + 7.45029i −0.107269 + 0.275748i
\(731\) −4.99089 + 25.0909i −0.184595 + 0.928020i
\(732\) 0.435527 0.475076i 0.0160975 0.0175593i
\(733\) −22.0843 + 33.0515i −0.815702 + 1.22078i 0.156740 + 0.987640i \(0.449902\pi\)
−0.972442 + 0.233145i \(0.925098\pi\)
\(734\) −15.1485 + 3.35653i −0.559141 + 0.123892i
\(735\) 1.12325i 0.0414318i
\(736\) −4.86833 + 4.08028i −0.179449 + 0.150401i
\(737\) 33.4488i 1.23210i
\(738\) −7.01550 31.6620i −0.258244 1.16549i
\(739\) −19.4284 + 29.0766i −0.714685 + 1.06960i 0.279313 + 0.960200i \(0.409893\pi\)
−0.993998 + 0.109402i \(0.965107\pi\)
\(740\) −6.65371 + 0.288985i −0.244595 + 0.0106233i
\(741\) −0.0411742 + 0.206997i −0.00151257 + 0.00760421i
\(742\) −38.9421 15.1489i −1.42961 0.556132i
\(743\) −21.9574 9.09505i −0.805539 0.333665i −0.0583662 0.998295i \(-0.518589\pi\)
−0.747172 + 0.664630i \(0.768589\pi\)
\(744\) −0.793903 0.696715i −0.0291059 0.0255428i
\(745\) −6.94998 + 2.87878i −0.254628 + 0.105470i
\(746\) −0.745199 34.3317i −0.0272837 1.25697i
\(747\) −23.4486 + 15.6679i −0.857941 + 0.573258i
\(748\) −8.97908 36.7308i −0.328308 1.34301i
\(749\) −3.09657 15.5675i −0.113146 0.568824i
\(750\) 0.213175 1.20817i 0.00778405 0.0441161i
\(751\) 29.0783 29.0783i 1.06108 1.06108i 0.0630715 0.998009i \(-0.479910\pi\)
0.998009 0.0630715i \(-0.0200896\pi\)
\(752\) 1.13924 + 13.0905i 0.0415439 + 0.477360i
\(753\) −1.01904 1.01904i −0.0371357 0.0371357i
\(754\) 0.908603 0.636056i 0.0330894 0.0231638i
\(755\) −15.0633 + 2.99628i −0.548211 + 0.109046i
\(756\) 0.563366 3.65470i 0.0204894 0.132920i
\(757\) −8.14810 12.1945i −0.296148 0.443216i 0.653320 0.757082i \(-0.273376\pi\)
−0.949467 + 0.313866i \(0.898376\pi\)
\(758\) 17.9495 + 17.1869i 0.651956 + 0.624255i
\(759\) 0.208173 + 0.502573i 0.00755619 + 0.0182422i
\(760\) −19.4650 2.56940i −0.706069 0.0932018i
\(761\) 1.19079 2.87483i 0.0431662 0.104212i −0.900826 0.434181i \(-0.857038\pi\)
0.943992 + 0.329968i \(0.107038\pi\)
\(762\) −0.425121 0.966459i −0.0154005 0.0350111i
\(763\) 0.766783 + 0.152523i 0.0277594 + 0.00552169i
\(764\) 13.5016 + 28.9716i 0.488472 + 1.04816i
\(765\) −33.0621 22.0914i −1.19536 0.798717i
\(766\) 20.1330 + 12.8294i 0.727435 + 0.463544i
\(767\) 4.30331 0.155383
\(768\) 0.621060 1.40798i 0.0224106 0.0508060i
\(769\) −1.71536 −0.0618576 −0.0309288 0.999522i \(-0.509847\pi\)
−0.0309288 + 0.999522i \(0.509847\pi\)
\(770\) −68.2794 43.5098i −2.46062 1.56798i
\(771\) 1.95380 + 1.30549i 0.0703643 + 0.0470159i
\(772\) 3.11013 + 6.67367i 0.111936 + 0.240191i